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Consider the problem of flow in a porous medium with hydraulic conductivity which fluctuates locally about a mean value. The flow is unsteady but gradually or slowly varying, i.e., the correlation length of head fluctuations is considerably larger than the correlation length of hydraulic‐conductivity fluctuations. The equations which must be satisfied by the effective conductivity tensor are derived under general conditions using a method of volume averaging and spatial moments. The generality of the derived equations is shown by replicating some known results.
Peter K. Kitanidis (Fri,) studied this question.